1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Left Hand Derivative
The function ...
Question
The function
f
(
x
)
=
|
x
2
−
2
x
−
3
|
⋅
e
|
9
x
2
−
12
x
+
4
|
is not differentiable at exactly :
A
One point
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Four points
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Two points
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Three points
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
Two points
f
(
x
)
=
|
(
x
+
1
)
(
x
−
3
)
|
.
e
(
3
x
−
2
)
2
Clearly
f
(
x
)
is not differentiable at
x
=
−
1
and
3
Suggest Corrections
33
Similar questions
Q.
The function
f
(
x
)
=
2
x
3
−
9
x
2
+
12
x
+
29
is monotonically decreasing function, when
Q.
If
f
(
x
)
=
x
|
x
2
−
3
x
|
e
|
x
−
3
|
+
[
3
+
s
g
n
(
x
2
−
1
−
5
x
)
4
+
x
2
]
+
{
1
3
+
[
x
2
−
2
x
|
x
|
+
1
]
}
is non differentiable at
x
=
x
1
,
x
2
,
x
3
.
.
.
.
.
x
n
then
∑
n
i
=
1
x
i
equals
( where
[
.
]
,
{
.
}
,
s
g
n
(
.
)
, denotes greatest integer function, fractional part function and signum function respectively)
Q.
The number of points at which the function
f
(
x
)
=
|
2
x
+
1
|
–
3
|
x
+
2
|
+
|
x
2
+
x
–
2
|
,
x
∈
R
is not differentiable, is
Q.
The number of points, at which the function
f
(
x
)
=
|
2
x
+
1
|
–
3
|
x
+
2
|
+
|
x
2
+
x
–
2
|
,
x
∈
R
is not differentiable, is
Q.
Find the intervals in which the following functions are strictly increasing or decreasing:
(a)
x
2
+
2
x
−
5
(b)
10
−
6
x
−
2
x
2
(c)
−
2
x
3
−
9
x
2
−
12
x
+
1
(d)
6
−
9
x
−
x
2
(e)
f
(
x
)
=
(
x
+
1
)
3
(
x
−
3
)
3
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Left Hand Derivative
MATHEMATICS
Watch in App
Explore more
Left Hand Derivative
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app